4 papers
Almost bi--Lipschitz embeddings using covers of balls centred at the origin
Alexandros Margaris
In 2010, Olson \& Robinson [Transactions of the American Mathematical Society, 362(1), 145-168] introduced the notion of an almost homogeneous metric space and showed that if i…
On the Assouad dimension of differences of self-similar fractals
Alexandros Margaris, Eric J. Olson, James C. Robinson
If is a set with finite Assouad dimension, it is known that the Assouad dimension of does not necessarily obey any non-trivial bound in terms of the Assouad dimension of…
Some comments on Laakso graphs and sets of differences
Alexandros Margaris, James C. Robinson
We recall a variation of a construction due to Laakso \cite{LA}, also used by Lang and Plaut \cite{LA} of a doubling metric space that cannot be embedded into any Hilbert space…
Embedding Properties of sets with finite box-counting dimension
Alexandros Margaris, James C. Robinson
In this paper we study the regularity of embeddings of finite--dimensional subsets of Banach spaces into Euclidean spaces. In 1999, Hunt and Kaloshin [Nonlinearity 12 1263-1275] in…